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Finding the Fourth Proportional to 106,644.58, 159,996.09 and 46,662.18

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Solution

The fourth proportional to 106,644.58, 159,996.09 and 46,662.18 is: 70,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644.58 : 159,996.09 = 46,662.18 : x
  2. Step 2: Convert to fraction form
    106,644.58/159,996.09 = 46,662.18/x
  3. Step 3: Cross multiply
    106,644.58x = 159,996.09 × 46,662.18
  4. Step 4: Simplify right side
    106,644.58x = 7,465,766,350.88
  5. Step 5: Solve for x
    x = 7,465,766,350.88/106,644.58
  6. Step 6: Final answer
    x = 70,006.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.